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authorRémi Flamary <remi.flamary@gmail.com>2020-04-22 11:39:23 +0200
committerRémi Flamary <remi.flamary@gmail.com>2020-04-22 11:39:23 +0200
commit135c011092cb442b0b874b565b6a2ca3f09234c4 (patch)
tree06a1a5209ee090824ae74af76bd2426295edc424 /notebooks/plot_OT_2D_samples.ipynb
parent5f679247f64fa1c8e277f34165850caea311a084 (diff)
remove notebooks and cleanup readme and doc
Diffstat (limited to 'notebooks/plot_OT_2D_samples.ipynb')
-rw-r--r--notebooks/plot_OT_2D_samples.ipynb372
1 files changed, 0 insertions, 372 deletions
diff --git a/notebooks/plot_OT_2D_samples.ipynb b/notebooks/plot_OT_2D_samples.ipynb
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-{
- "cells": [
- {
- "cell_type": "code",
- "execution_count": 1,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "%matplotlib inline"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "# 2D Optimal transport between empirical distributions\n",
- "\n",
- "\n",
- "Illustration of 2D optimal transport between discributions that are weighted\n",
- "sum of diracs. The OT matrix is plotted with the samples.\n",
- "\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "# Author: Remi Flamary <remi.flamary@unice.fr>\n",
- "# Kilian Fatras <kilian.fatras@irisa.fr>\n",
- "#\n",
- "# License: MIT License\n",
- "\n",
- "import numpy as np\n",
- "import matplotlib.pylab as pl\n",
- "import ot\n",
- "import ot.plot"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Generate data\n",
- "-------------\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "n = 50 # nb samples\n",
- "\n",
- "mu_s = np.array([0, 0])\n",
- "cov_s = np.array([[1, 0], [0, 1]])\n",
- "\n",
- "mu_t = np.array([4, 4])\n",
- "cov_t = np.array([[1, -.8], [-.8, 1]])\n",
- "\n",
- "xs = ot.datasets.make_2D_samples_gauss(n, mu_s, cov_s)\n",
- "xt = ot.datasets.make_2D_samples_gauss(n, mu_t, cov_t)\n",
- "\n",
- "a, b = np.ones((n,)) / n, np.ones((n,)) / n # uniform distribution on samples\n",
- "\n",
- "# loss matrix\n",
- "M = ot.dist(xs, xt)\n",
- "M /= M.max()"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Plot data\n",
- "---------\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "data": {
- "text/plain": [
- "Text(0.5, 1.0, 'Cost matrix M')"
- ]
- },
- "execution_count": 4,
- "metadata": {},
- "output_type": "execute_result"
- },
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- "<Figure size 432x288 with 1 Axes>"
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- },
- {
- "data": {
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\n",
- "text/plain": [
- "<Figure size 432x288 with 1 Axes>"
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "pl.figure(1)\n",
- "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n",
- "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n",
- "pl.legend(loc=0)\n",
- "pl.title('Source and target distributions')\n",
- "\n",
- "pl.figure(2)\n",
- "pl.imshow(M, interpolation='nearest')\n",
- "pl.title('Cost matrix M')"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Compute EMD\n",
- "-----------\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "data": {
- "text/plain": [
- "Text(0.5, 1.0, 'OT matrix with samples')"
- ]
- },
- "execution_count": 5,
- "metadata": {},
- "output_type": "execute_result"
- },
- {
- "data": {
- "image/png": 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HA3eU5SrYA5wXEUcCxwN/UZ7Pqta7C1gcEUcDxwCnSjoeuBy4IiI+CvwfsLyPNY50DrCxbrnKtTbUy5F9EbApIp6NiDeBVcCSHh6/oYi4C9g2YvUSYKjcHwKW9rSoMUTEloh4oNx/ldqLcj7VrTciYmdZnFpuASwGbi7rK1OvpAXAZ4Fry7KoaK3N6mXY5wO/rFveXNZV3dyI2FLuPw/M7Wcxo5F0KHAssJ4K11tOix8CtgJrgWeA7RGxp+xSpdfEt4DzgbfL8gepbq1N8QTdBETtfcpKvVcpaSbwY+ArEbGjflvV6o2ItyLiGGABtTO9I/pc0qgkfQ7YGhH397uWTurll1c8BxxSt7ygrKu6FyTNi4gtkuZRG5UqQdJUakG/MSJuKasrW++wiNguaR1wAjBb0j5lxKzKa+JE4POSTgdmALOAK6lmrU3r5ch+H3B4mdGcBpwJ3NrD47fqVmBZub8MWNPHWt5ResjrgI0R8c26TVWt9yBJs8v9fYFTqM0zrAPOKLtVot6IuCgiFkTEodRep/8ZEWdTwVonJCJ6dgNOB56i1qt9rZfHbrK+HwJbgN3UerLl1Hq1O4Cngf8A5vS7zlLrb1M7RX8EeKjcTq9wvUcBD5Z6HwO+XtZ/BLgX2AT8CJje71pH1H0ScNsg1Nro5stlzZLwBJ1ZEg67WRIOu1kSDrtZEg67WRIOu1kSDrtZEv8PVk5l+dwMLAEAAAAASUVORK5CYII=\n",
- "text/plain": [
- "<Figure size 432x288 with 1 Axes>"
- ]
- },
- "metadata": {
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- },
- "output_type": "display_data"
- },
- {
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\n",
- "text/plain": [
- "<Figure size 432x288 with 1 Axes>"
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "G0 = ot.emd(a, b, M)\n",
- "\n",
- "pl.figure(3)\n",
- "pl.imshow(G0, interpolation='nearest')\n",
- "pl.title('OT matrix G0')\n",
- "\n",
- "pl.figure(4)\n",
- "ot.plot.plot2D_samples_mat(xs, xt, G0, c=[.5, .5, 1])\n",
- "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n",
- "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n",
- "pl.legend(loc=0)\n",
- "pl.title('OT matrix with samples')"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Compute Sinkhorn\n",
- "----------------\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 6,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "data": {
- "image/png": "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\n",
- "text/plain": [
- "<Figure size 432x288 with 1 Axes>"
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- },
- {
- "data": {
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\n",
- "text/plain": [
- "<Figure size 432x288 with 1 Axes>"
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "# reg term\n",
- "lambd = 1e-3\n",
- "\n",
- "Gs = ot.sinkhorn(a, b, M, lambd)\n",
- "\n",
- "pl.figure(5)\n",
- "pl.imshow(Gs, interpolation='nearest')\n",
- "pl.title('OT matrix sinkhorn')\n",
- "\n",
- "pl.figure(6)\n",
- "ot.plot.plot2D_samples_mat(xs, xt, Gs, color=[.5, .5, 1])\n",
- "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n",
- "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n",
- "pl.legend(loc=0)\n",
- "pl.title('OT matrix Sinkhorn with samples')\n",
- "\n",
- "pl.show()"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Emprirical Sinkhorn\n",
- "----------------\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 7,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Warning: numerical errors at iteration 0\n"
- ]
- },
- {
- "name": "stderr",
- "output_type": "stream",
- "text": [
- "/home/rflamary/PYTHON/POT/ot/bregman.py:363: RuntimeWarning: divide by zero encountered in true_divide\n",
- " v = np.divide(b, KtransposeU)\n",
- "/home/rflamary/PYTHON/POT/ot/plot.py:90: RuntimeWarning: invalid value encountered in double_scalars\n",
- " if G[i, j] / mx > thr:\n"
- ]
- },
- {
- "data": {
- "image/png": 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oRMIeUYmEPaISCXtEJRL2iEok7BGVSNgjKpGwR1QiYY+oRMIeUYmEPaISCXtEJRL2iEok7BGVkO2JW5j0IHAvsA/w0IQtuDtTqVaYWvVOpVphatR7gO19h2uY0LD/aqHSOttLJnzBHZhKtcLUqncq1QpTr96hchofUYmEPaISkxX28yZpuZ2YSrXC1Kp3KtUKU6/ep5mUa/aImHg5jY+oRMIeUYkJDbukpZJul7RB0hkTuex2SLpI0hZJt7RM20vSKkl3lr/PnswaB0naX9I1km6TdKukU8v0fq13lqTrJP2g1HtWmX6gpLXlO7FS0ozJrnWQpGmSbpR0dRnv21rbMWFhlzQN+GfgaGAx8EZJiydq+W26GFg6ZNoZwGrbBwGry3g/2AmcZnsxcBjw9rI9+7Xe7cARtl8MHAIslXQYcDbwCduLgEeAkyexxqFOBda3jPdzrWOayCP7ocAG23fbfgK4BDhuApc/JtvfBh4eMvk4YEUZXgEcP6FFjcD2ZtvfL8PbaL6U8+nfem37sTI6vbwMHAFcXqb3Tb2SFgCvBi4o46JPa23XRIZ9PrCxZXxTmdbv5treXIbvB+ZOZjHDkbQQeAmwlj6ut5wW3wRsAVYBdwGP2t5ZuvTTd+KTwOnAU2V8b/q31rbkBt0ucPM7ZV/9VilpNnAF8C7bW1vb+q1e20/aPgRYQHOm94JJLmlYko4Ftti+YbJr6aWBCVzWfcD+LeMLyrR+94CkebY3S5pHc1TqC5Km0wT9S7a/Wib3bb2DbD8q6RrgFcAcSQPliNkv34lXAq+VdAwwC9gTOJf+rLVtE3lkvx44qNzRnAGcCFw1gcvv1FXAsjK8DLhyEmv5lXINeSGw3vbHW5r6td59Jc0pw7sBR9HcZ7gGeF3p1hf12n6/7QW2F9J8T79l+yT6sNZdYnvCXsAxwB0012ofnMhlt1nfV4DNwA6aa7KTaa7VVgN3Av8J7DXZdZZaf4/mFP1m4KbyOqaP6/1t4MZS7y3Ah8r05wLXARuAy4CZk13rkLoPB66eCrWO9crjshGVyA26iEok7BGVSNgjKpGwR1QiYY+oRMIeUYmEPaIS/wfTH/HALwau5wAAAABJRU5ErkJggg==\n",
- "text/plain": [
- "<Figure size 432x288 with 1 Axes>"
- ]
- },
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- },
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YtGlTwtsmImf5PpDPnu1MOQcPHsTEiRPRp08f5OfnY8uWLSgvL0ezZs3w1FNP4fLLL0deXh4aNWqEqVOnWtuejenTp6O4uBiNGzeOWPZPfvITdO7cGfn5+SgoKMBzzz2HJk2a4KWXXsIvf/lLFBQUoLCwsPaiZaCbb74ZeXl56NevH84//3wUFBTgpz/9KRYuXIiCggJ89NFHMVv/4XTu3BkDBgzAmDFj8NhjjwW16gFg1qxZqKmpQX5+Pvr27YtZs2YBAJYsWYJ+/fqhsLAQH374Ia6++uqEt01EznJlzs7i4mINnVhi69at6N27d8brko0mTZqE0tJSXHbZZWkpn9+lj82bZ+4ODcy/V1QA69Yx/+4BIrJeVYtDl/u+RU5EDuKt/77ky4udlJqnn37a7SqQG+JpbfPWf19ii5woW8Tb2uat/77DQE6ULQJb27ffXndnaGig5q3/vsNATpRNYrW2eeu/LzGQE/lBKhNJBL7Xbm2XlQH331+/zHXrglvpdit+3brUPwOljSOBXER2i8jfReQDEamM/Q7v2bt3LwoLC1FYWIgzzzwTHTp0qH1+7NixtGxzw4YNeP3119NSdiKOHz+ONm3auF0Niiae/HakYL9zp1n3gQfM48yZwMqVplVeWmqW2+yLnoEHCN76733hBmBJ9AfAbgBt410/5UGz0jxg0OzZs/U3v/lNQu85fvx4wttZsGBB7UBWbqqpqdHWrVs7Vh4HzUqTNWtU27ZVnTXLPIb7HwhcHvh8zRrVFi1Uy8qC17n/frM83HvIcxBh0Cx/BvJof7AOCA3kpaWlWlRUpH369NEFCxaoal3wmz59uubl5ek777yjy5Yt0549e2pRUZFef/31Om7cOFU1IytOnDhRS0pKtLCwUF999VU9fPiwdurUSdu2basFBQX64osvBtVh06ZNWlxcrAUFBZqXl6c7d+6MWZf/+I//0D59+ujFF1+s7733ng4dOlS7deumK1asUFVz4Bg/frwOHTpUzznnHL3jjjuC3m+75557tKSkRPPy8nTOnDmqqvrNN9/o6NGjNT8/X/v27VuvvoEYyNNo1izzbztrVvjX7f+Fiy5Sbd06+H+irCz8e2MdIMgz0h3I/wlgA4D1AKZEWGcKgEoAlZ07d65XwYT/+dP4xxcayPfu3auqZvjY3r176759+7SmpkYB6Msvv1z7WocOHXT37t168uRJveyyy2oD+c0336zPP/+8qqru27dPe/TooUeOHInaIp86daouXrxYVVWPHj1aO2xttLqsWrVKVU2wHz16tNbU1GhlZWXtMLcLFizQ9u3b6759+/TgwYPau3dvff/994MC+YoVK3TatGl68uRJPXHihI4aNUrffvttXbx4sU6dOrW2fvv374+4/xjI0yTev3k72OfmBre8Req3yEPfE+kAQZ4QKZA7dbHzAlUtAjAGwL+LyNAwKZwnVLVYVYvbtWuX+hYz2Nf1wQcfREFBAQYNGoSqqqraCRqaNGmCSy+9FACwZcsW9OrVC126dIGI4Kqrrqp9/6pVq3DXXXehsLAQI0aMqB0SNprzzz8fd955J+bNm4c9e/bUjoUSqS65ubkYOXIkADNk7fDhw5GTk1Nv+NpRo0bhO9/5Dlq0aIHx48fjrbfeCtruqlWrsHLlSvTv3x9FRUXYsWMHtm/fjvz8fLz++uu45ZZb8Pbbb6N169ap7VRKTLy9SQK7DjZpAowfD1x9NXDTTcB99wF//GP992a6u2EqF24pLEfu7FTVT6zHL0RkKYABAGIP2p2K0D++ESPSEsxXr16NN998E++99x5yc3NxwQUX1A5Zm5ubG9es8aqKV155Bd27dw9aHm1c87KyMgwaNAgrVqzA6NGj8Yc//AHHjh2LWJcmTZrUvjfV4Wtvu+02/PjHP65Xp8rKSrz22mu45ZZbMGbMGNx6660xPzs5JFpvEntZYLC3/x9KS4FFi0wvlRtuqP9eoP57IvUvd4p94dbeRmC9KSkpt8hFpIWItLJ/B3AxgA9TLTeqDPZ1/frrr3HaaachNzcXmzdvxroI3bD69OmDbdu2Yc+ePVBVvPDCC7Wv2UPC2uwhYVu1aoUDBw6ELW/Xrl0455xzMH36dJSWlmLTpk1x1yWaVatWYf/+/Th8+DCWLVuGwYMHB70+atQoPPnkkzh06BAAoKqqCl9++SU++eQTtGzZEmVlZbjxxhuxYcOGhLdNKYhnIonQYA8AOTnARReZXir2/4fd8p0xo+499vJMdDeM98YkipsTqZUzALwlIhsB/DeAFaqa3j51Gezreskll+Dw4cPo06cPbrvtNgwcODDses2bN8cjjzyC733veyguLkabNm1q0w+zZ8/GoUOHkJeXh759+6LcmhXjwgsvxMaNG9G/f3+89NJLQeU999xz6Nu3LwoLC7F9+3b86Ec/irsu0ZSUlGDcuHEoKCjAVVddhcLCwqDXx44di8suuwznnXce8vLyMGHCBBw8eBAbN25ESUkJCgsLcffdd7M17kWBwd5u7LzyCrB6dXBjJ7Aro30gCOzKmInuhhwGwFnhEufp/nFyzk4vOXDggKqqnjx5UidPnqy//e1vXa5RsEx1d2wI36Xvxeqi63ZPFbe371NoSHN2etWjjz6KwsJC9OnTB0eOHMHkyZPdrhJlq9BUTGA6BTCvjRnjTouYwwA4jhNLkOP4XXpQ6IXQ0lJgxQpzEXTlyro8eSYmkODkFUmLNLGEp8YjV9W4eoGQd7nRMKA4BF5gHDPGBPEWLYBrrjE/48ebmcyXLk1/XcIF6zT1OssWnkmtNGvWDHv37mUg8DFVxd69e+vN/0keYV9gtLsj/vnPdSkNEeCKK7wVTNnfPG6eaZF37NgRVVVVqK6udrsqlIJmzZqhY8eObleDwgm99+Kaa+p6jsyaZfLVmRQrxcL+5vELdwU03T/heq0QURrZvUSmTKkbROvUU814LGVlqs2bu9dzJdqYSezdEgTstUKUxex7L6680rRq33/fpFOGDKkb0nbCBOC66+rSF4G38I8da4a7DUxrpJrmiOfGIPY3j0+46J7uH7bIiVwUaUjbNWtMi71tWzPIVuDjtGlm0K37769b135vqsNKRxuwiy3yIEjn6IeJ/jCQE7ksnuBZVhY8YqId1EODaqLDSgcG/sBthaZ30jxctR8xkBOREU8r1w70Q4YEB/zQA4AdlAPLbN3atOwjmTLF5OcDW/2nnqp6ySXB9UnzBDJ+xEBORIldYIynRR74/nDjoEeqQ+vWqs2ambLti652eVkcqGNhICei+MdgSSRHbveAad7cBPHQmYnCWbPGrA+402PGpyIFcvZaIcomsYbDtXu3HD9uHm+4wTzu3m0mprDHtg8dcfT4ceDwYTOBxdKl8Y2dohr8SEnzzFgrRORT110HLF4MTJ9ubjSKNW5LRUXdkAA//znw29+aYP7KK+xeGEOksVbYIiei5FVUAH/6kwnCgSMZApEHwFq8uG5cl7lzzaOIWU5JYSAnygbpGrckmUleunc3wTvwPUuXmuWUFKZWiLJB6DC2oc/JF9KeWhGRxiLyvogsd6pMInII58ls0JxMrUwHsNXB8ojIyZQIxy1psBwJ5CLSEcAlAH7vRHlEZAmcKBmoS4nYEyUnInQY20xPrcbxxdPGqRb5QwBmADjpUHlEBDiXEvHCPJlOHpQoSMqBXERKAXyhqutjrDdFRCpFpJKTR1DWcKIV6kRKJJneJU5jnj59wt3umcgPgHsAVAHYDeBzAIcBPBPtPbxFn7KGEyP4NbShXKONvEhRIRNjrQAYDmB5rPUYyCmrpBKIG9pQrvYYK0VFZnyW0LHQOWBWVJECOW8IIkq3VFIjXkiJOMXOid9xB7BjB3DihLlV/4EHzOMLLySfL8/yC6m8IYgo3ewANm1a3Vgk2ZgXDpxs2R5v5dtvgZMngebNg+/2TLRMIHhi5sWLzdABDWxfR7ohiMPYEqVTQ0uNOMnOlaeSL480nG5g2iYePpnEAkytELkgk6kRP6UXKiqAhx82LfHcXDMCYjJdIQN7wlRU1A2nO316Yi1xv3eNDBfd0/3DFjlRGoS29qdMqT/Jg1utzNB5Ok891UwAPWVK3fN4JqSIJHB2omR79/igdxDYIidq4EL7ab/wQvCkDU60MpNt9Qe2eNetA4YOBXJygCuvNPV+5RXgiiuSO1OpqDAt+txcoEmT+q30ePl5CINw0T3dP2yRE6VRYD9tp1uZqeT809Hitcu0W/ahOfNEzj583CJnICdqSMIFo1RuwAl3EfD++01aJJmAF64uqVxodOoipU8uSjOQEzV04YJR69Ym/5xq3jg0wJWVJX5wCHeQuffeugme7W3YB4pMBlGf91phICdqKEKDkX0RccqUuudOXAS0A28iB4dIBwS7LPuxrExVxDynehjIibKNk61MOyVSVpZcCiJaXewyhgyp20ayZTVwDORElJzAFnnz5vVby04EUTtVk5dX/0ARWrZP8tnpwEBORInLRNC8/36TThk50jxOmxacbgm3LS/0MHHhzICBnIgSl+5gZY+GaLfyA4N6rAuebg+H68KZAQM5EXlPuANFtB4x9vqBLfLAC7qZluEzg0iBnHd2EpF7ZswIvoOyogJYuTLyvKIlJcCll5qRE+0xbETMaIeZnoMU8MzdoAzkROQN8cwrOmKEuZVfpG79pUvNLf5ujNHu9oTWlhxXtkpEFCraSJGBLd3HHwfOOMO0gmfNCl4/kwIPPCNGmB+X5iFlICcib5gxo+53e8KIdevqBvmyB9zKyTGzCtmtYDuIZlq8B54MSDm1IiLNROS/RWSjiGwWkTlOVIyIspg9WmJOjnl84AHzuHs3cNNNJvUSKf2SKaH5fcA8DzwgZYgTOfJvAVyoqgUACgGMFpHzHCiXiLKV3bq95x5gzBgTvMeMARYuBO67D7jhhuD1/DiHqYNSTq1YXWIOWk9PsX4yPxEoETUsgT1ChgwBFi0y6RQ7iAeu56exw9PAkV4rItJYRD4A8AWAv6rqWifKJaIsZvcIKSsD3nrLPLrYM8TLHAnkqnpCVQsBdAQwQET6ha4jIlNEpFJEKqurq53YLBE1VHaPkJkzTb/y++4zjzNnZiYn7qf5T+FwP3JV3Q+gAsDoMK89oarFqlrcrl07JzdLRA2N3SPk+HHzeMMNwc/TnRP32WTMYlLcKRQg0g5AjaruF5FcAKsA3KuqyyO9p7i4WCsrK1PaLhFRWtnBe9o0k9JxoX94KBFZr6rFocud6Ed+FoCFItIYpoW/JFoQJyLyhcCLrYE3HnlQyqkVVd2kqv1VNV9V+6nqXCcq5lXl5W7XgIgywiO338eDY60kaA5vdyIK5rMLg3GJZ9wXD2EgJ6LU+OzCYFyi3X7vQQzkcSgvN4OtiZjn9u9MsxChLshNmADcfrtrA0c5ykO338eDgTwO5eWAGenePLd/ZyAnsnhkXG7PSnP6iYGciFLnowuDrkhz+omBPEGzZ7tdAyKP8fKFQa9ciE1z+omBPEFMpxCF8PKFQS9diE1j+inlOzuTwTs7iShjvHKHpgP1iHRnJ1vkRNSweeFCbJrTTwzkRNSwxboQm4k8eprTTwzkRNRwxdMSzkQePc390hnIiajhiqcl3ABuaOLFTiIiwARxe6TDud4c+48XO4mIIvH5DU0M5ESU3bx8Q1OcGMiJKLt5+YamODFHTkTkE2nLkYtIJxGpEJEtIrJZRKanWiYREcXPiTk7jwO4UVU3iEgrAOtF5K+qusWBsomIKAYn5uz8TFU3WL8fALAVQIdUyyUiovg4erFTRLoC6A9grZPlEhFRZI4FchFpCeBlAL9Q1W/CvD5FRCpFpLK6utqpzRIRZT1HArmInAITxJ9V1T+FW0dVn1DVYlUtbteunRObJSIiONNrRQA8CWCrqj6QepWIiCgRTrTIBwMoA3ChiHxg/Yx1oFwiIopDyt0PVfUtAOJAXYiIKAm8RZ+IyOcYyImIfI6BnIjI5xjIiYh8joGciMjnGMiJiHyOgZyIyOcYyImIfI6BPIuVl7tdAyJyAgN5Fpszx+0aEJETGMg9KNMt5dDtsaVO5C8M5B6UzpZyeTkgYn4A8zhnTnDwZkudyF8YyLNMeTmgas7DbV0AAAq3SURBVH6Auke2womSNG8eUFERvKyiwizPEAZyjwjXUhZJX4C1yw3dXqa2T9RglJQAEybUBfOKCvO8pCRjVRC1m2QZVFxcrJWVlRnfrl+I1LWU06m8vO4AEri9SNu31yeiEHbwnjYNePRRYMkSYMQIxzcjIutVtTh0OVvkWSzRoMzcOVEEI0aYIH7HHeYxDUE8GgZyD5o9293tZXr7RL5XUWFa4rNmmcfQnHmaMZB7UKyWstPpjWjdDzOduyfyHTutsmQJMHeueQzMmWeAIzlyEfkDgFIAX6hqv1jrM0eemkzl0L2yXSJPmzfPXNgMTKdUVADr1gEzZji6qUg5cqcC+VAABwH8kYE8/RjIibJTWi92quqbAPY5URaF54UUB3PnRN7kWPdDEekKYHmkFrmITAEwBQA6d+587scff+zIdrORn1rG7LJI5BzXux+q6hOqWqyqxe3atcvUZsll7LJIlH7steJDTHEQUSAGch/yeqrCC/l8omziSCAXkecBvAugl4hUiciPnSiX/CncwFyqDORE6ZLjRCGqepUT5RARUeKYWqG0Yj6fKP0YyH0k3tREpPUymdqwt8V0ClH6cRhbH4m3/3ik9TLZ/9xPfd2J/ML1fuR+xRYlEXkdA3kMbt/QEm9XvkjrDR+eua6A7HZI5A6mVmLwUoqAqRWi7MbUSgJSaVmy9Zl+3MdEwRjIw0jlhpZ0pmLi7coXab1UugImGjzT2e3Q7XQXkdcwtRJDoimChppS8NLn8lJdiDKJqZUkxdOy5EW+9OM+JoqMLXKHxWot+ml87vLy8GmM2bPd/QxskVO2SutUb4nK5kDu1yDkpXp7qS5EmcTUSoY0tLFFvHj20ND2MVGqGMgdFi7w+Tm/a6dWvBQ8/bDfiDKJgTzN7Jx4aHdG+zW/cLKumfjcftq3RKliIE8zP/Z5TvcZRCb2iR/3O1GyGMgzyA6EXk+xcIYfIn9xaqq30SKyTUR2iMgtTpTpZ5FatED2BshMXCfw87UIolSk3P1QRBoD2A5gJIAqAOsAXKWqWyK9pyF3PwzlhQGsUpGOfu+Z+Ox+2b9EiUhn98MBAHao6i5VPQZgMYBxDpTrCelqzXmpF0g0bM0SeZ8TgbwDgD0Bz6usZUFEZIqIVIpIZXV1tQObzYxUL5pFCtjZHCCdPoiF25d+OVASOcGJ1MplAEar6k+s52UABqrq9ZHe46fUSracovtp6IBQ2fIdEaUztfIJgE4Bzztay3wrGy+asbsekX85EcjXAeghIt1EpAmAKwG86kC5rmH3O+/LxoMtUSQpB3JVPQ7gegB/AbAVwBJV3ZxquZR+fg6GPNgS1XGkH7mqvqaqPVW1u6re5USZXuH1i2apBC4GQ6KGgXd2xuD1oMbctvcPtkTpxkBOAPwdDL1+sCVKNwZyH3Iyt22/h8GQyL84Q5DPpdqHOtL7/dyvnKih4gxBlBDm3on8w3eBnK3EYMnktv3c7ZCI6vNdIGdLMViyefFw3Q4BBngiP/JdIKf0iRbgQ9cjIu/wRSBnKiB94knNhJ4FJXNWxO+KKH1812uFI91lRmCvldB9nsx3wO+NKHXstUJxCWw5hzsL4lkRkff4LpD7+Q5EP7DTJpHy5YmMy8KUGFFm+C61QukVLgXC1AqRNzC1QhHFajmHngXxrIjIW9gipyDpajlzTBei1LFFngViBUk3g2h5OW/mIkoXBvIGJFagjCeQMm1C5D8pBXIRuVxENovISRGp19z3o2w59Y/0OZ3+/H7rueLVehFFk2qL/EMAPwDwpgN18QS/nf7HCpSRXs/U5/TbdHJ++/6JAIcudorIGwBuUtW4rmB6+WKnn7vJxap74OtufE4/7Fs/1JGyl+sXO0VkiohUikhldXV1pjYbF7+d/qfCzc/p1fx7Nn3/1DDFbJGLyGoAZ4Z56Vequsxa5w2wRe66WLP6RBs/JZVyGxI/f//U8EVqkTO1EiKZf2Q/BrpEPmc2Bbds+qzkP66nVvwimdN/P14g82qaI1SmD5B+2S9EgVLtfnipiFQBGARghYj8xZlqucdvLetkxep+6JW8caYPktny/VPDklIgV9WlqtpRVZuq6hmqOsqpinmdVwKd06KNfjh7tv8/H1FDxNRKkvzWP9oJqbaO4903DfUgSZQuDOSU8OiHyYr3QJCNB0miVDCQO8DvF8iiBU57sCu2jom8i4HcAQ05qKXaOk41TeL3gyRRJnA8cgoSrU98qn2s2UebKDXsR05xidZSZuuYyJsYyCluqaaQeCAgSg8GcsqYhnwtgchNDOSUEQziROnDQE4Z4cfxaIj8goGcKAyeQZCfMJA3AF4NOn6+1Z5nEOQn7EfeAPihf3Ym6+jE+PB+2KeUfdiPnLJGsq1pP59BUHZjIPcpvwUdP/Qh52Bd5FcM5D4VGnQAbweddNfLbwc2IifluF0BIickO7F0JH44gyCypTrV229E5CMR2SQiS0WkjVMVo9jsVqiNrVDncB+Sn6SaWvkrgH6qmg9gO4CZqVeJ4sWcbnhsTVO2SXXOzlWqetx6+h6AjqlXiSg12X4go+zj5MXOawGsjPSiiEwRkUoRqayurnZwswSwFUqUzWLeECQiqwGcGealX6nqMmudXwEoBvADjeMOI94QRESUuEg3BMXstaKq34tR8CQApQAuiieIExGRs1LqfigiowHMADBMVQ87UyUiIkpEqjnyRwC0AvBXEflARB5zoE5ERJSAlFrkqnqOUxUhIqLk8BZ9IiKfc2UYWxGpBvBxxjccv7YAvnS7Eh7E/VIf90l43C/hpbpfuqhqu9CFrgRyrxORynBdfLId90t93Cfhcb+El679wtQKEZHPMZATEfkcA3l4T7hdAY/ifqmP+yQ87pfw0rJfmCMnIvI5tsiJiHyOgZyIyOcYyCPg7Ed1RGS0iGwTkR0icovb9fECEekkIhUiskVENovIdLfr5CUi0lhE3heR5W7XxStEpI2IvGTFla0iMsipshnII+PsRzD/kAD+E8AYAH0AXCUifdytlSccB3CjqvYBcB6Af+d+CTIdwFa3K+ExDwN4XVW/C6AADu4fBvIIOPtRrQEAdqjqLlU9BmAxgHEu18l1qvqZqm6wfj8A80/Zwd1aeYOIdARwCYDfu10XrxCR1gCGAngSAFT1mKrud6p8BvL4RJ39qIHrAGBPwPMqMGAFEZGuAPoDWOtuTTzjIZjhrU+6XREP6QagGsBTVsrp9yLSwqnCszqQi8hqEfkwzM+4gHV+BXMa/ax7NSWvEpGWAF4G8AtV/cbt+rhNREoBfKGq692ui8fkACgC8Kiq9gdwCIBj15tSGsbW7zj7UVw+AdAp4HlHa1nWE5FTYIL4s6r6J7fr4xGDAXxfRMYCaAbgVBF5RlV/5HK93FYFoEpV7bO2l+BgIM/qFnk0AbMffT/LZz9aB6CHiHQTkSYArgTwqst1cp2ICEy+c6uqPuB2fbxCVWeqakdV7Qrzt7KGQRxQ1c8B7BGRXtaiiwBscar8rG6Rx/AIgKYwsx8BwHuqOtXdKmWeqh4XkesB/AVAYwB/UNXNLlfLCwYDKAPwdxH5wFp2q6q+5mKdyNt+BuBZq0G0C8A1ThXMW/SJiHyOqRUiIp9jICci8jkGciIin2MgJyLyOQZyIiKfYyAnIvI5BnIiIp/7X1fXsMJXcT01AAAAAElFTkSuQmCC\n",
- "text/plain": [
- "<Figure size 432x288 with 1 Axes>"
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "# reg term\n",
- "lambd = 1e-3\n",
- "\n",
- "Ges = ot.bregman.empirical_sinkhorn(xs, xt, lambd)\n",
- "\n",
- "pl.figure(7)\n",
- "pl.imshow(Ges, interpolation='nearest')\n",
- "pl.title('OT matrix empirical sinkhorn')\n",
- "\n",
- "pl.figure(8)\n",
- "ot.plot.plot2D_samples_mat(xs, xt, Ges, color=[.5, .5, 1])\n",
- "pl.plot(xs[:, 0], xs[:, 1], '+b', label='Source samples')\n",
- "pl.plot(xt[:, 0], xt[:, 1], 'xr', label='Target samples')\n",
- "pl.legend(loc=0)\n",
- "pl.title('OT matrix Sinkhorn from samples')\n",
- "\n",
- "pl.show()"
- ]
- }
- ],
- "metadata": {
- "kernelspec": {
- "display_name": "Python 3",
- "language": "python",
- "name": "python3"
- },
- "language_info": {
- "codemirror_mode": {
- "name": "ipython",
- "version": 3
- },
- "file_extension": ".py",
- "mimetype": "text/x-python",
- "name": "python",
- "nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.6.9"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 0
-}